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Finding the Fourth Proportional to 762.29, 1,143.43 and 214.47

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Solution

The fourth proportional to 762.29, 1,143.43 and 214.47 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,143.43 = 214.47 : x
  2. Step 2: Convert to fraction form
    762.29/1,143.43 = 214.47/x
  3. Step 3: Cross multiply
    762.29x = 1,143.43 × 214.47
  4. Step 4: Simplify right side
    762.29x = 245,231.70
  5. Step 5: Solve for x
    x = 245,231.70/762.29
  6. Step 6: Final answer
    x = 321.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.